7. Radio-Listening Trends. The Arbitron Corporation tracks radio-listening trends among demographic groups. In a survey, 240 teens ages 12–17 listened to pop contemporary hit radio stations, whereas 170 teens listened to alternative radio stations. Also, 250 young adults ages 18–24 listened to pop contemporary hit radio stations, whereas 260 young adults listened to alternative radio stations. Test whether age and radio station type are independent, using level of significance .
11.99.7
: Age and radio station type are independent. : Age and radio station type are not independent. Reject if -value . Since none of the expected frequencies is less than 1 and none of the expected frequencies is less than 5, the conditions for performing the test for independence are met. . -value . Since -value , we reject . There is evidence that age and radio station type are not independent.